A new test for deficit sustainability and its application to US data

Hatzinikolaou, Dimitris and Simos, Theodore (2011): A new test for deficit sustainability and its application to US data. Forthcoming in: Empirical Economics

Abstract

In this paper, we define deficit sustainability by requiring formally that both the discounted debt vanish asymptotically and the undiscounted debt be bounded. Thus, a new necessary condition and a new testing procedure emerge. We propose a new test statistic and prove that its limiting distribution is standard normal, N(0, 1). Its finite- sample distribution differs from N(0, 1), however, mainly because it has fat tails, so we derive empirical critical values using simulations. Using the new test and United States (US) quarterly data, the conclusions of three earlier papers that fail to reject the sustainability of the US budget or current-account deficit are reversed.

• Item Type: MPRA Paper
• Language: English
• Keywords: Undiscounted debt, budget, current account, sustainable
• Subjects: E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E62 - Fiscal Policy; H - Public Economics > H6 - National Budget, Deficit, and Debt > H62 - Deficit ; Surplus; H - Public Economics > H6 - National Budget, Deficit, and Debt > H63 - Debt ; Debt Management ; Sovereign Debt

References

Bohn H (2007) Are stationarity and cointegration restrictions really necessary for intertemporal budget constraint? Journal of Monetary Economics 54:1837-1847.

Box GEP, Jenkins GM (1976) Time series analysis: forecasting and control. Holden Day, Oakland, CA.

Cuddington JT (1997) Analyzing the sustainability of fiscal deficits in developing countries. The World Bank, International Finance Division, Policy Research Working Paper 1784.

Dickey DA, Fuller WA (1981) Likelihood ratio statistics for autoregressive time-series with a unit root. Econometrica 49:1057-72.

Engle RF, Granger CWJ (1987) Cointegration and error correction: representation, estimation, and testing. Econometrica 55:251-276.

Gregory AW, Hansen BE (1996) Residual-based tests for cointegration in models with regime shifts. Journal of Econometrics 70:99-126(a).

Gregory AW, Hansen BE (1996) Tests for cointegration in models with regime and trend shifts. Oxford Bulletin of Economics and Statistics 58:555-560(b).

Hakkio CS, Rush M (1991) Is the budget deficit “too large?” Economic Inquiry 29:429-445.

Hamilton JD (1994) Time Series Analysis. Princeton University Press, Princeton.

Haug AA (1995) Has federal budget deficit policy changed in recent years? Economic Inquiry 33:104-118.

Hayashi F (2000) Econometrics. Princeton University Press, Princeton.

Holmes MJ (2006) How sustainable are OECD current account balances in the long-run? Manchester School 74:626-643.

Husted S (1992) The emerging U.S. current account deficit in the 1980s: a cointegration analysis. Review of Economics and Statistics 74:159-166.

Kwiatkowski D, Phillips PCB, Schmidt P, Shin Y (1992) Testing the null hypothesis of stationarity against the alternative of a unit root: how sure are we that economic time series have a unit root? Journal of Econometrics 54:159-178.

Lee J, Strazicich MC (2003) Minimum Lagrange multiplier unit root test with two structural breaks. Review of Economics and Statistics 85:1082-1089.

Lee J, Strazicich MC (2004) Minimum LM unit root test with one structural break. Unpublished manuscript.

MacKinnon JG (1991) Critical values for cointegration tests. In: Engle RF, Granger CWJ (eds) Long-run economic relationships: readings in cointegration. Oxford University Press, Oxford, pp. 267-276.

Martin GM (2000) US deficit sustainability: a new approach based on multiple endogenous breaks. Journal of Applied Econometrics 15:83-105.

McCallum BT (1984) Are bond-financed deficits inflationary? a Ricardian analysis. Journal of Political Economy 92:123-135.

Ng S, Perron P (2001) Lag length selection and the construction of the unit root tests with good size and power. Econometrica 69:1519-1554.

Payne JE (1997) International evidence on the sustainability of budget deficits. Applied Economics Letters 4:775-779.

Pesaran MH, Shin Y, Smith RJ (2001) Bounds testing approaches to the analysis of level relationships. Journal of Applied Econometrics 16:289-326.

Quintos CE (1995) Sustainability of the deficit process with structural shifts. Journal of Business and Economic Statistics 13:409-417.

Sargent TJ, Wallace N (1981) Some unpleasant monetarist arithmetic. Federal Reserve Bank of Minneapolis Quarterly Review 5 (Fall):1-17.

Tanner E, Liu P (1994) Is the budget deficit “too large”?: some further evidence. Economic Inquiry 32:511-518.

Trehan B, Walsh CE (1991) Testing intertemporal budget constraints: theory and applications to U.S. Federal Budget and current account deficits. Journal of Money, Credit, and Banking 23:206-223.

Wilcox DW (1989) The sustainability of government deficits: implications of the present-value borrowing constraint. Journal of Money, Credit, and Banking 21:291-306.

Wu J-L, Chen S-L, Lee H-Y (2001) Are current account deficits sustainable? Evidence from panel cointegration. Economics Letters 72:219-224.

Wu J-L, Fountas S, Chen S-L (1996) Testing for the sustainability of the current account deficit in two industrial countries. Economics Letters 52:193-198.

Xiao Z, Phillips PCB (1998) Higher-order approximations for frequency domain time series regression. Journal of Econometrics 86:297-336.